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COURSE: MATHEMATICS I (MTH 101)

SYLLABUS

I. Basic algebra: Linear and quadratic equations, Solving linear and quadratic equations, Application of equations: profit, pricing, savings, revenue, sales tax, investment, bond redemption, linear inequalities, applications of inequalities: profit, renting verses purchasing, leasing versus purchasing, revenue, current ratio, investment, Maple session on solving linear, quadratic and higher degree equations, solving inequalities

II. Functions and Graphs: Introduction to functions, domain and range of a function, Applications: demand, supply and profit functions, demand and supply schedule, value of business, depreciation, Special functions: polynomial, rational, piecewise defined functions, Absolute value function, and evaluation of such functions. Combination of functions. Applications: cost, investment, sales, profit, business, Graphs of functions: linear, quadratic, piecewise defined functions, graphing of quadratic functions by finding vertex, Applications on graphs: inventory, debt payment, pricing, revenue and profit, demand and supply curves, Maple session on functions and graphs

III. Lines and Systems: Equation of a straight line, slope and intercept of a line, parallel and perpendicular lines, Applications: price-quantity relationship, production levels, cost, revenue, demand and supply equations, isocost line, isoprofit line, depreciation, appreciation, systems of linear equations, solution of system of linear equations, nonlinear systems: one linear one quadratic equation, solving nonlinear systems, Applications: market equilibrium, break-even points, profit and loss, business, Maple session on lines and systems

IV. Exponential and Logarithmic Functions: Exponential functions and their graphs, logarithmic functions and their graphs, solving logarithmic and exponential equations, properties of logarithm, change of base, Application of logarithmic and exponential functions: population growth, cost equation, supply equation, Demand equation, investment, sales, appreciation, Maple session on Exponential and Logarithmic functions

V. Mathematics of Finance: Compound interest, effective interest rate, present value, net present value, geometric series, annuities, present value of annuity, future value of annuity, sinking funds, amortization of loans, Maple session on mathematics of finance

Core Reading List * 1. Ernest F. Haeussler, Jr & Richard S. Paul, Introductory Mathematical Analysis for Business, Economics and the Social and Life Sciences, Mc Graw Hill, 2010, 13th Edition. 2. Maple 14 online help manuals

Reference Books
Laurence D. Hoffman and Gerald Bradley, Applied Calculus for Business, Economics and the Social and Life Sciences,
McGraw Hill, 2007, 9th Edition.

COURSE: MATHEMATICS I (MTH 101)

Course Objective: The purpose of this course is to enhance basic mathematical skills of students which will be helpful in all quantitative courses. The course begins with basic algebra and techniques for solving linear and non-linear equations. Functions are included and their economic applications are discussed. Also, some financial applications are introduced.
This course will cover the analysis and implementation of commands used for basic mathematical skills in practice with the help of Maple.
Teaching Strategy: The teaching methodology will include classroom lectures, lab sessions, quizzes and solving problem sets.
Final Assessment Criteria:
Final Exam 35%
Mid Tern Exam 25% Maple exam 10%
Assignments 10%
Quizzes 15%
Class Participation & Attendance 5%

COURSE OUTLINE: MATHEMATICS I (MTH 101)

| Lecture Sessions | Discussion Sessions | 1 | Linear and quadratic equations, solving linear and quadratic equations | Handout+1.1 | 2 | Application of equations: profit, pricing, savings, revenue, sales tax, investment, bond redemption | 1.1 | 3 | Linear inequalities, applications of inequalities | 1.2,1.3 | 4 | Introduction to functions, domain and range of a function, demand, supply and profit functions, demand and supply schedule, value of business, depreciation | 2.1 | 5 | Special functions: polynomial, rational, piecewise defined functions, Absolute value function, evaluation of such functions, combining functions | 2.2,2.3 | 6 | Applications: Cost, investment, sales, profit, business | 2.2,2.3 | 7 | Graphs of functions: linear, quadratic, piecewise defined functions, graphing of quadratic functions by finding vertex | 2.5,3.3 | 8 | Applications on graphs: inventory, Debt payment, Pricing, Revenue and profit, Demand and supply curves | 2.5,3.3 | 9 | Equation of a straight line, slope, intercept, parallel and perpendicular lines | 3.1 | 10 | Applications: price-quantity relationship, production levels, cost , revenue, demand and supply equations, Isocost line, Isoprofit line, depreciation, appreciation | 3.1,3.2 | 11 | Systems of linear equations. Solving a system of linear equations | 3.4 | 12 | Intro to Maple 14, basic algebra applications | Assignment | 13 | Maple session on solving linear, quadratic and higher degree equations, solving inequalities | Assignment | 14 | Maple session on functions | Assignment | 15 | Midterm Exam | Midterm Exam | 16 | Nonlinear systems, solving nonlinear systems | 3.5 | 17 | Applications: market equilibrium, break-even points, profit and loss, business | 3.6 | 18 | Exponential and Logarithmic functions and their graphs | 4.1,4.2 | 19 | Properties of logarithm. Change of base | 4.3 | 20 | Solving logarithmic and exponential equations | 4.4 | 21 | Applications of logarithmic and exponential functions | 4.1,4.2,4.3,4.4 | 22 | Compound interest, effective interest rate, Present and future value, net present value | 5.1,5.2 | 23 | Geometric series, Annuities, present value of an annuity, future value of annuity | 5.4 | 24 | Sinking funds, amortization of loans | 5 .5 | 25 | Maple session on lines and systems, graphs of exponential and logarithmic functions | Assignment | 26 | Maple session on Mathematics of finance | Assignment | 27 | Revision + Maple exam | | 28 | Final Exam | Final Exam |

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